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Decision making under incomplete data: Intuitionistic multi fuzzy ideals of near-ring approach
Date Issued
2023
ISSN
2560-6018
2620-0104
Citation
Decision Making: Applications in Management and Engineering, 2023, Vol. 6(1), pp. 564-582.
Description
Open access
Type
Peer Reviewed Journal Article
Abstract
Real-world data is often partial, uncertain, or incomplete. Decision making based on data as such can be addressed by fuzzy sets and related systems. This article studies the intuitionistic multi-fuzzy sub-near rings and Intuitionistic multi-fuzzy ideals of near rings. It presents some of the elementary operations and relations defined on these structures. The concept of level subsets and support of the Intuitionistic multi-fuzzy sub-near ring is also presented. It looks into and demonstrated a few characteristics of intuitionistic multi-fuzzy near-rings and ideals. This research advances fuzzy set theory, which is often applied to problems involving pattern recognition and multiple criterion decision-making. Thus, the results may be beneficial to artificial intelligence related research. Alternatively, the intuitionistic multi-fuzzy approach may be applied to vector spaces and modules or extended to inter-valued fuzzy systems. © 2023 by the authors.
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